Anderson localization of elementary excitations in a one dimensional Bose-Einstein condensate

We study the elementary excitations of a transversely confined Bose-Einstein condensate in presence of a weak axial random potential. We determine the localization length (i) in the hydrodynamical low energy regime, for a domain of linear densities ranging from the Tonks-Girardeau to the transverse...

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Bibliographic Details
Published in:arXiv.org 2006-08
Main Authors: Bilas, Nicolas, Pavloff, Nicolas
Format: Article
Language:English
Subjects:
Anderson localization
Condensates
Elementary excitations
Excitation
Localization
Matter & antimatter
Quantum theory
White noise
Online Access:Get full text
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Summary:We study the elementary excitations of a transversely confined Bose-Einstein condensate in presence of a weak axial random potential. We determine the localization length (i) in the hydrodynamical low energy regime, for a domain of linear densities ranging from the Tonks-Girardeau to the transverse Thomas-Fermi regime, in the case of a white noise potential and (ii) for all the range of energies, in the ``one-dimensional mean field regime'', in the case where the randomness is induced by a series of randomly placed point-like impurities. We discuss our results in view of recent experiments in elongated BEC systems.
ISSN:2331-8422
DOI:10.48550/arxiv.0602622